Integral Operators in the Theory of Linear Partial Differential Equations

✍ Scribed by Stefan Bergman

• Publisher: Springer
• Year: 1961
• Tongue: English
• Leaves: 155
• Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
• Category: Library

✦ Synopsis

The present book deals with the construction of solutions of linear
partial differential equations by means of integral operators which
transform analytic functions of a complex variable into such solutions.
The theory of analytic functions has achieved a high degree of deve-
lopment and simplicity, and the operator method permits us to exploit
this theory in the study of differential equations. Although the study
of existence and uniqueness of solutions has been highly developed,
much less attention has been paid to the investigation of function theo-
retical properties and to the explicit construction of regular and singular
solutions using a unified general procedure. This book attempts to fill in
the gap in this direction.